Show that `A=[[2,-3],[3,4]]` satisfies the equation `A^(2)-6A+17=0.` Hence find `A^(-1)`

Show that A=[2-334] satisfies the equation x^(2)-6x+17=0. Hence,find A^(-1)

Show that A=[-8524] satisfies the equation A^(2)+4A-42I=O. Hence,find A^(-1).

Show that A =[{:(5,3),(-1,-2):}] satisfies the equation A^(2)-3A-7I=0 and hence find the value of A^(-1)

Show that the matrix A=[{:(2,3),(1,2):}] satisfies the equation A^(2)-4A+I=O and hence, find A^(-1) .

Find the inverse of each of the matrices given below : Show that the matrix A=[(-8,5),(2,4)] satisfies the equation A^(2)+4A-42I=0 and hence find A^(-1) .

Show that the matrix A=[[2,31,2]] satisfies the equation A^(3)-4A^(2)+A=O

Show that the matrix A=[122212221] satisfies the equation A^(2)-4A-5I_(3)=O and hence find A^(-1) .

show that matrix A = [(3,4),(1,2)] satisfies the equation A^2-5A+2I=0

Show that the matrix,A=[10-2-2-12341] satisfies the equation,A^(3)-A^(2)-3A-I_(3)=O. Hence, find A^(-1).

Show that A=[6576] satisfies the equation x^(2)-12x+1=0. Thus,find A^(-1)